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Approaching the Riemann Hypothesis with Mathematica

Lev Aizenberg
Organization: Bar-Ilan University, Israel
Victor Adamchik
Organization: Carnegie-Mellon University
Department: Computer Science
Vadim E. Levit
Organization: Tel-Aviv University, Israel
Department: Department of Computer Systems
Journal / Anthology

The Mathematica Journal
Year: 1997
Volume: 7
Issue: 1
Page range: 54-57

The method of analytic continuation is used to formulate a condition that is equivalent to the Riemann hypothesis on the zeros of the zeta function. Numerical experiments to verify the condition are performed with Mathematica 3.0. The results of the experiments support the Riemann hypothesis.

*Mathematics > Calculus and Analysis > Special Functions